Finding the Fourth Proportional to 187.06, 280.62 and 109.98
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Solution
The fourth proportional to 187.06, 280.62 and 109.98 is: 164.99
Step by Step Solution
- Step 1: Write the proportion equation
187.06 : 280.62 = 109.98 : x - Step 2: Convert to fraction form
187.06/280.62 = 109.98/x - Step 3: Cross multiply
187.06x = 280.62 × 109.98 - Step 4: Simplify right side
187.06x = 30,862.86 - Step 5: Solve for x
x = 30,862.86/187.06 - Step 6: Final answer
x = 164.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.